Structural Reliability Analysis Using Stochastic Finite Element Method Based on Krylov Subspace
AlgorithmsThe stochastic finite element method is an important tool for structural reliability analysis. In order to improve the calculation efficiency, a stochastic finite element method based on the Krylov subspace is proposed for the static reliability analysis
Jianyun Huang +3 more
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An iterative method to compute the overlap Dirac operator at nonzero chemical potential [PDF]
, 2007 The overlap Dirac operator at nonzero quark chemical potential involves the computation of the sign function of a non-Hermitian matrix. In this talk we present an iterative method, first proposed by us in Ref.
A. Frommer +36 more
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Preserving Symmetry in Preconditioned Krylov Subspace Methods [PDF]
SIAM Journal on Scientific Computing, 1998 The authors consider the problem of solving linear systems of equations with coefficient matrices which are ``nearly'' (very close to be) symmetric and when symmetric positive definite preconditioners are used. They show that it is possible to improve upon the standard practice of using nonsymmetric preconditioners for that matrices along with a left ...
Chan, Tony F. +3 more
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Reduced-Rank Adaptive Filtering Using Krylov Subspace
EURASIP Journal on Advances in Signal Processing, 2002 A unified view of several recently introduced reduced-rank adaptive filters is presented. As all considered methods use Krylov subspace for rank reduction, the approach taken in this work is inspired from Krylov subspace methods for iterative solutions ...
Burykh Sergueï, Abed-Meraim Karim
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How to compute Green's Functions for entire Mass Trajectories within Krylov Solvers [PDF]
, 1996 The availability of efficient Krylov subspace solvers play a vital role for the solution of a variety of numerical problems in computational science. Here we consider lattice field theory. We present a new general numerical method to compute many Green's
Frommer, A. +5 more
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Augmented unprojected Krylov subspace methods
, 2022 13 pages, 1 ...
Burke, Liam, Soodhalter, Kirk M.
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
Mathematics, 2023 A flexible extended Krylov subspace method (F-EKSM) is considered for numerical approximation of the action of a matrix function f(A) to a vector b, where the function f is of Markov type.
Shengjie Xu, Fei Xue
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Sparse Regularization Least-Squares Reverse Time Migration Based on the Krylov Subspace Method
Remote SensingLeast-squares reverse time migration (LSRTM) is an advanced seismic imaging technique that reconstructs subsurface models by minimizing the residuals between simulated and observed data. Mathematically, the LSRTM inversion of the sub-surface reflectivity
Guangshuai Peng +4 more
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Efficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits [PDF]
, 2014 Paper 3C-3Matrix exponential (MEXP) method has been demonstrated to be a competitive candidate for transient simulation of very large-scale integrated circuits. Nevertheless, the performance of MEXP based on ordinary Krylov subspace is unsatisfactory for
Chen, Q, Wong, N, Zhao, W
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GMRES for oscillatory matrix-valued differential equations [PDF]
, 2009 We investigate the use of Krylov subspace methods to solve linear, oscillatory ODEs. When we apply a Krylov subspace method to a properly formulated equation, we retain the asymptotic accuracy of the asymptotic expansion whilst converging to the exact ...
Olver, Sheehan
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